296.2 is what percent of 11250 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 11250 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 11250, so we can write it down as 100%=11250.
4. We know, that x% equals 296.2 of the output value, so we can write it down as x%=296.2.
5. Now we have two simple equations:
1) 100%=11250
2) x%=296.2
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=11250/296.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 296.2 is what percent of 11250

100%/x%=11250/296.2
(100/x)*x=(11250/296.2)*x       - we multiply both sides of the equation by x
100=37.981093855503*x       - we divide both sides of the equation by (37.981093855503) to get x
100/37.981093855503=x
2.6328888888889=x
x=2.6328888888889

now we have:
296.2 is 2.6328888888889% of 11250